Question: [4 points] Let A, B, C and D be 22 matrices such that det A = 2, det B = 2, det D = 4

[4 points] Let A, B, C and D be 22 matrices such that det A = 2, det B = 2, det D = 4 and 5A TB 2C TD 1 = I2, where I2 is 2 2 identity matrix. a) [3 points] Calculate det C. b) [1 point] Is C invertible? Explain

3. [4 points] Let A, B, C and D be 2 x 2 matrices such that det A = -2, det B = 2, det D = 4 and 5AT B2CT D-1 = 12, where 12 is 2 x 2 identity matrix. a) [3 points] Calculate det C. b) [1 point] Is C invertible? Explain

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